Question

In: Finance

Sheel Inc. has a 6 percent coupon (compounded semiannually) bonds on the market with 16 years...

Sheel Inc. has a 6 percent coupon (compounded semiannually) bonds on the market with 16 years to maturity, and the par value of $1,000. At what price should the bonds be selling for if TYM is 5%? Had the bond been selling at $919.50, what should be the YTM (assuming the same coupon, maturity, and par value)? Based on your answers above, what is the relationship between YTM and bond price?

***Please show all work***

Solutions

Expert Solution

                  K = Nx2
Bond Price =∑ [(Semi Annual Coupon)/(1 + YTM/2)^k]     +   Par value/(1 + YTM/2)^Nx2
                   k=1
                  K =16x2
Bond Price =∑ [(6*1000/200)/(1 + 5/200)^k]     +   1000/(1 + 5/200)^16x2
                   k=1
Bond Price = 1109.25
                  K = Nx2
Bond Price =∑ [(Semi Annual Coupon)/(1 + YTM/2)^k]     +   Par value/(1 + YTM/2)^Nx2
                   k=1
                  K =16x2
919.5 =∑ [(6*1000/200)/(1 + YTM/200)^k]     +   1000/(1 + YTM/200)^16x2
                   k=1
YTM% = 6.84

BOnd price is inversely proportional to YTM as can be seen in the equation


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